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Field Theory of Free Run and Tumble Particles in d Dimensions

Published 11 Jun 2021 in cond-mat.stat-mech, math-ph, and math.MP | (2106.07383v1)

Abstract: In this paper, Doi-Peliti field theory is used to describe the motion of free Run and Tumble particles in arbitrary dimensions. After deriving action and propagators, the mean square displacement and the corresponding entropy production at stationarity are calculated in this framework. We further derive the field theory of free Active Brownian Particles in two dimensions for comparison.

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